The Mathematical Description of a Wave Video Lessons

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Problem: The displacement of a wave traveling in the positive x-direction is D(x,t) = (3.5 cm)sin(3.2x − 132t), where x is in m and t is in s.a. What is the frequency of this wave?b. What is the wavelength of this wave?c. What is the speed of this wave?

FREE Expert Solution

We are required to deduce wave properties given a wave equation.

The general solution of a wave traveling in the positive x-direction is:

y(x,t) = Asin(kx-ωt) where A is the amplitude, k is the wavenumber and ω is the angular frequency.

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The displacement of a wave traveling in the positive x-direction is D(x,t) = (3.5 cm)sin(3.2x − 132t), where x is in m and t is in s.

a. What is the frequency of this wave?

b. What is the wavelength of this wave?

c. What is the speed of this wave?

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